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Finding the Fourth Proportional to 681,952, 941,093.82 and 380,146

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Solution

The fourth proportional to 681,952, 941,093.82 and 380,146 is: 524,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,952 : 941,093.82 = 380,146 : x
  2. Step 2: Convert to fraction form
    681,952/941,093.82 = 380,146/x
  3. Step 3: Cross multiply
    681,952x = 941,093.82 × 380,146
  4. Step 4: Simplify right side
    681,952x = 357,753,051,297.72
  5. Step 5: Solve for x
    x = 357,753,051,297.72/681,952
  6. Step 6: Final answer
    x = 524,601.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.